Atkin-Lehner |
2+ 3- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
20130g |
Isogeny class |
Conductor |
20130 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
448845501433032000 = 26 · 32 · 53 · 112 · 616 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-331984,-66221218] |
[a1,a2,a3,a4,a6] |
Generators |
[-410:1211:1] [-311:2795:1] |
Generators of the group modulo torsion |
j |
4046441737952254334329/448845501433032000 |
j-invariant |
L |
5.7319125756839 |
L(r)(E,1)/r! |
Ω |
0.20032645938918 |
Real period |
R |
2.3844048497805 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60390bf4 100650bv4 |
Quadratic twists by: -3 5 |